What is the Least Common Multiple of 28897 and 28907?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 28897 and 28907 is 835325579.
LCM(28897,28907) = 835325579
Least Common Multiple of 28897 and 28907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28897 and 28907, than apply into the LCM equation.
GCF(28897,28907) = 1
LCM(28897,28907) = ( 28897 × 28907) / 1
LCM(28897,28907) = 835325579 / 1
LCM(28897,28907) = 835325579
Least Common Multiple (LCM) of 28897 and 28907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28897 and 28907. First we will calculate the prime factors of 28897 and 28907.
Prime Factorization of 28897
Prime factors of 28897 are 11, 37, 71. Prime factorization of 28897 in exponential form is:
28897 = 111 × 371 × 711
Prime Factorization of 28907
Prime factors of 28907 are 137, 211. Prime factorization of 28907 in exponential form is:
28907 = 1371 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 28897 and 28907.
LCM(28897,28907) = 111 × 371 × 711 × 1371 × 2111
LCM(28897,28907) = 835325579
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